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Theory of Structures

Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

2
1
3
4

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

All of these
E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)
E = 3K (1 – 2/m)

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/2EI
WL3/2EI
WL²/3EI
WL3/3EI

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Theory of Structures
A truss containing j joints and m members, will be a simple truss if

m = 3j – 2
m = 2j – 3
j = 2m – 3
j = 3m – 2

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.20 to 1.30
1.10 to 1.20
1.40 to 1.50
1.30 to 1.40

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

St. Venant's theory
Rankine's theory
Von Mises' theory
Guest's or Trecas' theory

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